Metrics for Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze90.0ms (1.5%)

Memory

39.9MiB live, 77.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.1s (18.1%)

Memory

-11.4MiB live, 1 507.7MiB allocated

Samples

762.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 424.0ms

ival-mult: 233.0ms (55% of total)

ival-div: 70.0ms (16.5% of total)

ival-add: 70.0ms (16.5% of total)

ival-sub: 37.0ms (8.7% of total)

ival-true: 7.0ms (1.7% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain122.0ms (2%)

Memory

18.6MiB live, 254.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
69	-	1	(-2.644372630539872e-299 1.5256966957326142e-238 -3.799383164585474e-161)	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
26	-	0	-	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(*.f64 y #s(literal 2 binary64))`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	o/n	64	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	overflow	147
↳	`(*.f64 y y)`	overflow	66
↳	`(*.f64 x x)`	overflow	67
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	108
↳	`(*.f64 z z)`	overflow	65
`-.f64`	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	nan-rescue	26	0
↳	`(*.f64 y y)`	overflow	66
↳	`(*.f64 x x)`	overflow	67
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	108
↳	`(*.f64 z z)`	overflow	65
`/.f64`	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`	u/n	4	0
↳	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`	underflow	4
↳	`(*.f64 y y)`	underflow	62
↳	`(*.f64 x x)`	underflow	64
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	16
↳	`(*.f64 z z)`	underflow	52

Confusion

	Predicted +	Predicted -
+	83	1
-	0	172

Precision

1.0

Recall

0.9880952380952381

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	83	0	1
-	0	0	172

Precision?

1.0

Recall?

0.9880952380952381

Freqs

test

number	freq
0	173
1	72
2	11

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

41.0ms

512×

valid

Compiler

Compiled 166 to 48 computations (71.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 12.0ms (53.5% of total)

ival-div: 5.0ms (22.3% of total)

ival-sub: 2.0ms (8.9% of total)

ival-add: 2.0ms (8.9% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess221.0ms (3.6%)

Memory

-18.1MiB live, 225.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	138
1	147	135
2	489	135
3	2201	135
4	6856	117
0	11	15
0	18	15
1	32	15
2	69	15
3	136	15
4	295	15
5	630	15
6	1515	13
7	3498	13
8	7949	13
0	8123	12

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Outputs
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 2 binary64))

Symmetry

(abs z)

(abs x)

(negabs y)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.9%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify164.0ms (2.7%)

Memory

-2.6MiB live, 154.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(*.f64 x x)
cost-diff	128	(+.f64 (.f64 x x) (.f64 y y))
cost-diff	128	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
0	18	49
1	32	49
2	69	49
3	136	49
4	295	49
5	630	49
6	1515	47
7	3498	47
8	7949	47
0	8123	44

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 2 binary64))
(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
(fma.f64 (-.f64 x z) (+.f64 z x) (*.f64 y y))
(+.f64 (.f64 x x) (.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)

localize29.0ms (0.5%)

Memory

16.0MiB live, 53.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y #s(literal 2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	5.7890377299624705	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
accuracy	15.897001132775696	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Samples

22.0ms

256×

valid

Compiler

Compiled 100 to 24 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 9.0ms (67.7% of total)

ival-div: 2.0ms (15% of total)

ival-sub: 1.0ms (7.5% of total)

ival-add: 1.0ms (7.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

-19.0MiB live, 18.0MiB allocated

Counts

6 → 27

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
(*.f64 y y)
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))

Outputs
(- (pow y 2) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(- (pow x 2) (pow z 2))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 2 y)
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))
2.0ms	y	@	inf	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))
1.0ms	x	@	inf	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))
1.0ms	x	@	0	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))
1.0ms	y	@	-inf	((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))

simplify112.0ms (1.8%)

Memory

0.9MiB live, 159.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	286
1	198	286
2	573	260
3	2185	256
4	6059	252
0	8348	234

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

Inputs
(- (pow y 2) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(- (pow x 2) (pow z 2))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 2 y)
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))

Outputs
(- (pow y 2) (pow z 2))
(fma.f64 (neg.f64 z) z (*.f64 y y))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* 1/2 (/ (pow x 2) y))
(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(- (pow x 2) (pow z 2))
(*.f64 (-.f64 x z) (+.f64 z x))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) y #s(literal -1 binary64)) (.f64 z z) (.f64 x x))
(* -1/2 (/ (pow z 2) y))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(fma.f64 (.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (.f64 (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

rewrite155.0ms (2.5%)

Memory

24.6MiB live, 216.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
0	18	42
1	68	42
2	569	42
0	8351	39

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 542

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
(*.f64 y y)
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 z z) (-.f64 (.f64 z z) (fma.f64 y y (.f64 x x))))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 6 binary64)) (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal 3 binary64))))) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x)))) (-.f64 (.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x)))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y z) (-.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 z z))))
(.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (.f64 x x))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
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(fma.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) y)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z z (fma.f64 y y (.f64 x x))))) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z z (fma.f64 y y (.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y))) (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) z) (.f64 #s(literal 4 binary64) (.f64 y y))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 z z (fma.f64 y y (.f64 x x))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 y y (.f64 x x)))) (.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y y (.f64 x x)))) (*.f64 #s(literal 2 binary64) y)))
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 y y (.f64 x x))) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) y)) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) y)))
(-.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 z z) y)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (-.f64 (.f64 z z) (fma.f64 y y (.f64 x x))))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 y y) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (.f64 (.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (neg.f64 z) z)) (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 y y)) (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (+.f64 x z) (-.f64 x z))))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (+.f64 y z) (-.f64 y z))) (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x)) (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (+.f64 y z) (-.f64 y z))))
(+.f64 (/.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64)) (.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (neg.f64 z) z)))
(+.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64)) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)))
(*.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(*.f64 (neg.f64 y) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) y))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) y))
(.f64 (.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 y)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))

eval80.0ms (1.3%)

Memory: -23.7MiB live, 113.2MiB allocated
Compiler: Compiled 17 881 to 1 674 computations (90.6% saved)

prune12.0ms (0.2%)

Memory

2.0MiB live, 40.2MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	552	7	559
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	553	7	560

Accuracy

100.0%

Counts

560 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.0%	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
▶	99.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
▶	67.5%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
▶	28.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
	62.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
▶	39.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	29.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Compiler

Compiled 316 to 216 computations (31.6% saved)

simplify149.0ms (2.4%)

Memory

14.9MiB live, 166.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) x y)
cost-diff	0	(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (*.f64 x x) y)
cost-diff	0	(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(/.f64 (*.f64 z z) y)
cost-diff	0	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(/.f64 (-.f64 x z) y)
cost-diff	0	(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
cost-diff	0	(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	33	215
0	50	215
1	91	215
2	188	215
3	359	215
4	899	215
5	2510	215
6	5879	200
0	8101	200

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
(/.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
(+.f64 z x)
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
#s(literal -1/2 binary64)
(/.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
x
y
#s(literal 1/2 binary64)

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
(fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
(+.f64 z x)
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z)
#s(literal -1/2 binary64)
(/.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
x
y
#s(literal 1/2 binary64)

localize85.0ms (1.4%)

Memory

-1.8MiB live, 121.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
accuracy	0.0625	(fma.f64 (/.f64 x y) x y)
accuracy	20.780154293044976	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
accuracy	8.152982463222015	(/.f64 (*.f64 x x) y)
accuracy	44.38992656303199	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
accuracy	0.0	(*.f64 z z)
accuracy	0.0	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
accuracy	7.374596636443755	(/.f64 (*.f64 z z) y)
accuracy	42.59941715558709	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	38.58637345244311	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
accuracy	0.015625	(/.f64 (-.f64 x z) y)
accuracy	0.0546875	(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)

Samples

66.0ms

256×

valid

Compiler

Compiled 394 to 63 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-sub: 21.0ms (43.7% of total)

ival-mult: 15.0ms (31.2% of total)

ival-div: 7.0ms (14.6% of total)

ival-add: 4.0ms (8.3% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series33.0ms (0.5%)

Memory

6.0MiB live, 43.4MiB allocated

Counts

18 → 70

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
(/.f64 (-.f64 x z) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
(/.f64 (*.f64 z z) y)
(*.f64 z z)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)

Outputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(* 1/2 (/ (pow x 2) y))
(/ (pow x 2) y)
(pow x 2)
(* 1/2 y)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
y
(+ y (/ (pow x 2) y))
(/ x y)
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (* (+ x z) (- x z)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/ (- x z) y)
(* -1/2 (/ (pow z 2) y))
(/ (pow z 2) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(/ (+ (pow x 2) (pow y 2)) y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(pow z 2)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y))
6.0ms	y	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y))
4.0ms	y	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y))
4.0ms	x	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y))
3.0ms	x	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y))

simplify181.0ms (3%)

Memory

11.1MiB live, 208.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	873
1	743	834
2	2578	758
0	8631	715

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 69

Calls

Call 1

Inputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(* 1/2 (/ (pow x 2) y))
(/ (pow x 2) y)
(pow x 2)
(* 1/2 y)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
y
(+ y (/ (pow x 2) y))
(/ x y)
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (* (+ x z) (- x z)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/ (- x z) y)
(* -1/2 (/ (pow z 2) y))
(/ (pow z 2) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(/ (+ (pow x 2) (pow y 2)) y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(pow z 2)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))

Outputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) #s(literal 1/2 binary64))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(*.f64 (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) #s(literal 1/2 binary64))
(+ y (* -1 (/ (pow z 2) y)))
(-.f64 y (/.f64 (*.f64 z z) y))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(-.f64 y (/.f64 (*.f64 z z) y))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(* 1/2 (/ (pow x 2) y))
(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(pow x 2)
(*.f64 x x)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
y
(+ y (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x y)
(/ x y)
(/.f64 x y)
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(.f64 x (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 (.f64 z z) y)) x) x) x (/.f64 x y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 z y) x)) x)
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(.f64 x (fma.f64 (/.f64 y (.f64 x x)) x (/.f64 x y)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(.f64 x (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 (.f64 z z) y)) x) x) x (/.f64 x y)))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 z y) x)) x)
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x z)) (/.f64 (+.f64 z x) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(.f64 (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) y) #s(literal 1/2 binary64))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x z)) (/.f64 (+.f64 z x) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(.f64 (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) y) #s(literal 1/2 binary64))
(/ (* (+ x z) (- x z)) y)
(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y))
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(* -1/2 (/ (pow z 2) y))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64))
(/ (+ (pow x 2) (pow y 2)) y)
(/.f64 (fma.f64 y y (*.f64 x x)) y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(.f64 (fma.f64 (.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)) #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(.f64 (fma.f64 (.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)) #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(fma.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)) #s(literal 1 binary64) y)
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 x y) x y)
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(.f64 (fma.f64 (.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)) #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(.f64 (fma.f64 (.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)) #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(fma.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 z x) y)) #s(literal 1 binary64) y)
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(fma.f64 (/.f64 x y) x y)
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 y y (.f64 x x)) y)))
(* 1/2 (+ y (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(*.f64 (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y) #s(literal 1/2 binary64))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(fma.f64 (/.f64 x y) x y)
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))
(* -1 (/ (pow z 2) y))
(*.f64 (neg.f64 z) (/.f64 z y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(*.f64 (neg.f64 z) (/.f64 z y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(.f64 (-.f64 (fma.f64 (/.f64 x z) (/.f64 (/.f64 x y) z) (/.f64 y (.f64 z z))) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))
(* z (- (/ x (* y z)) (/ 1 y)))
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) y)) z)
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(*.f64 (neg.f64 z) (/.f64 z y))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 x y) x y)) z) z)) z) z)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) y)) z)

rewrite153.0ms (2.5%)

Memory

4.5MiB live, 197.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	194
0	50	194
1	188	194
2	1549	194
0	8439	189

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

18 → 402

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
(/.f64 (-.f64 x z) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
(/.f64 (*.f64 z z) y)
(*.f64 z z)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) (.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) y) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)))) (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 y (-.f64 y (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y)))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y (-.f64 y (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y)))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y)) (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64))) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 3 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y)) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 3 binary64))))))
(fma.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) (.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))))
(fma.f64 y #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 1/2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))))
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y))) (/.f64 (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y))) (fma.f64 (/.f64 (.f64 y y) (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y))) (/.f64 (.f64 y y) (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 y (.f64 (/.f64 (-.f64 x z) y) z)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (-.f64 x z) y) x) #s(literal 3 binary64))) (fma.f64 (+.f64 y (.f64 (/.f64 (-.f64 x z) y) z)) (+.f64 y (.f64 (/.f64 (-.f64 x z) y) z)) (-.f64 (pow.f64 (.f64 (/.f64 (-.f64 x z) y) x) #s(literal 2 binary64)) (.f64 (+.f64 y (.f64 (/.f64 (-.f64 x z) y) z)) (.f64 (/.f64 (-.f64 x z) y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 x z) y) z) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 x y) (-.f64 x z) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 x z) y) z) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (/.f64 x y) (-.f64 x z) y) (fma.f64 (/.f64 x y) (-.f64 x z) y)) (.f64 (*.f64 (/.f64 (-.f64 x z) y) z) (fma.f64 (/.f64 x y) (-.f64 x z) y)))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)) (.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) (pow.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)) (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y))) (.f64 (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y)) (.f64 y y))) (*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y)) (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y))))
(/.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64))) (-.f64 y (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)) (.f64 y y))) (neg.f64 (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)) (.f64 (+.f64 z x) (.f64 (/.f64 (-.f64 x z) y) y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) (pow.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)) (.f64 y y)) (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) (-.f64 (.f64 y y) (pow.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)) (.f64 (+.f64 z x) (.f64 (/.f64 (-.f64 x z) y) y)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64)) (.f64 (+.f64 z x) (.f64 (/.f64 (-.f64 x z) y) y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) (pow.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (+.f64 z x) (/.f64 y (*.f64 (+.f64 z x) (-.f64 x z)))) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) y)
(fma.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64)) y)
(fma.f64 (/.f64 (+.f64 z x) #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 x z)) y) y)
(fma.f64 (/.f64 (fma.f64 z z (.f64 (neg.f64 x) x)) (/.f64 y (.f64 (+.f64 z x) (-.f64 x z)))) (/.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) (+.f64 z x)) y)
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(/.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64))) (-.f64 y (*.f64 (/.f64 x y) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 y) y))) (neg.f64 (fma.f64 (/.f64 x y) x (neg.f64 y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 y (-.f64 y (.f64 (/.f64 x y) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x y))))
(/.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) (fma.f64 (/.f64 x y) x (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (.f64 (/.f64 x y) x)) (-.f64 (.f64 y y) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x y)))
(/.f64 (fma.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 y (-.f64 y (.f64 (/.f64 x y) x)))))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x y) y)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) y)
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))) y)
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) y)
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x x) y)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x) y)
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (neg.f64 y) #s(literal -1 binary64)) y)
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) y)
(fma.f64 (/.f64 x y) x y)
(fma.f64 (*.f64 x x) (pow.f64 y #s(literal -1 binary64)) y)
(fma.f64 x (/.f64 x y) y)
(-.f64 (/.f64 (.f64 y y) (-.f64 y (.f64 (/.f64 x y) x))) (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (-.f64 y (.f64 (/.f64 x y) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) x (neg.f64 y))) (/.f64 (.f64 y y) (fma.f64 (/.f64 x y) x (neg.f64 y))))
(+.f64 (*.f64 (/.f64 x y) x) y)
(+.f64 y (*.f64 (/.f64 x y) x))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (*.f64 x #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))

eval61.0ms (1%)

Memory: -5.5MiB live, 113.8MiB allocated
Compiler: Compiled 16 009 to 1 910 computations (88.1% saved)

prune18.0ms (0.3%)

Memory

3.8MiB live, 41.3MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	443	7	450
Fresh	1	1	2
Picked	3	2	5
Done	0	0	0
Total	447	10	457

Accuracy

100.0%

Counts

457 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.0%	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
	29.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z))))
▶	71.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
	30.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64)))
▶	30.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))
	28.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
▶	33.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
✓	39.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	29.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
▶	43.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)))

Compiler

Compiled 446 to 302 computations (32.3% saved)

simplify133.0ms (2.2%)

Memory

5.1MiB live, 157.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (+ (* (/ x y) x) y) 1/2) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)))
cost-diff	512	(.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)
cost-diff	832	(.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)
cost-diff	0	#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
cost-diff	0	(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y)
cost-diff	0	(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
cost-diff	0	(/.f64 x y)
cost-diff	0	(.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))
cost-diff	0	(/.f64 z y)
cost-diff	0	(*.f64 #s(literal -1/2 binary64) z)
cost-diff	0	(.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
cost-diff	0	(-.f64 y z)
cost-diff	0	(+.f64 y z)
cost-diff	0	(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
cost-diff	320	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	320
0	70	320
1	131	316
2	265	316
3	605	316
4	1701	300
5	3765	293
6	6911	293
0	8522	283

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
(+.f64 y z)
y
z
(-.f64 y z)
(*.f64 x x)
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
(.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
(/.f64 z y)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64)))
(/.f64 x y)
x
y
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y)
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(+.f64 z x)
x
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)))
#s(approx (* (+ (* (/ x y) x) y) 1/2) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x))
(.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)
(.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)
(fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 y (*.f64 x x))
y
(*.f64 x x)
x
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) y)

Outputs
(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
(fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 y y))
(+.f64 y z)
(+.f64 z y)
y
z
(-.f64 y z)
(*.f64 x x)
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))
(.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
(/.f64 z y)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
(.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 x y)
x
y
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y)
(fma.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y)
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(+.f64 z x)
(+.f64 x z)
x
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (/ x y) x) y) 1/2) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x))
#s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)
(*.f64 (+.f64 (/.f64 y x) (/.f64 x y)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 y (*.f64 x x))
y
(*.f64 x x)
x
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) y)

localize386.0ms (6.3%)

Memory

-133.9MiB live, 143.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.9527916883263305	(/.f64 y (*.f64 x x))
accuracy	8.175396058445605	(.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)
accuracy	8.459631905590124	(.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)
accuracy	20.780154293044976	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)))
accuracy	0.0	(neg.f64 z)
accuracy	0.0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
accuracy	0.0546875	(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y)
accuracy	28.947319355493086	#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.13671875	(.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64)))
accuracy	44.38992656303199	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))
accuracy	0.0	(/.f64 z y)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	0.125	(.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))
accuracy	42.59941715558709	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
accuracy	0.0	(+.f64 y z)
accuracy	0.0	(*.f64 x x)
accuracy	1.999977980844482	(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
accuracy	15.932157382775697	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))

Samples

330.0ms

256×

valid

Compiler

Compiled 560 to 90 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 22.0ms (48.7% of total)

ival-div: 11.0ms (24.4% of total)

ival-add: 8.0ms (17.7% of total)

ival-sub: 3.0ms (6.6% of total)

ival-neg: 1.0ms (2.2% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series39.0ms (0.6%)

Memory

25.5MiB live, 64.0MiB allocated

Counts

23 → 117

Calls

Call 1

Inputs
(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
(+.f64 y z)
(-.f64 y z)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
(.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))
(*.f64 #s(literal -1/2 binary64) z)
(/.f64 z y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64)))
(/.f64 x y)
(*.f64 x #s(literal 1/2 binary64))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y)
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
(.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)
(.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)))
#s(approx (* (+ (* (/ x y) x) y) 1/2) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x))
(*.f64 x x)
(neg.f64 z)
(/.f64 y (*.f64 x x))

Outputs
(* 1/2 (/ (* (+ y z) (- y z)) y))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(* (+ y z) (- y z))
(+ (* (+ y z) (- y z)) (pow x 2))
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (/ (pow x 2) y))
(/ x y)
(* 1/2 x)
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(* 1/2 y)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (/ y x))
(/ (+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) x)
(pow x 2)
(/ y (pow x 2))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))))
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y)
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(+ (* -1 (pow z 2)) (pow x 2))
(+ (* -1 (pow z 2)) (+ (* y (+ z (* -1 z))) (pow x 2)))
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2)))
z
(+ y z)
(* -1 z)
(- y z)
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* -1/2 (/ (pow z 2) y))
(/ z y)
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (* (+ x z) (- x z)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/ (- x z) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 x) (* 1/2 (/ (pow y 2) x))) y)
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y))))
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2))))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2)))))))
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))))
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x)))))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (pow x 2) (pow y 2))
(+ (* z (+ y (* -1 y))) (+ (pow x 2) (pow y 2)))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2)))
(+ y (* -1 z))
(* -1/2 z)
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ y (/ (pow x 2) y))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1))
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1))
(* z (+ 1 (/ y z)))
(* z (- (/ y z) 1))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	z	@	0	((* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (+ y z) (- y z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 z) (/ z y)) (* -1/2 z) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ x y) (* x 1/2)) (/ x y) (* x 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (* (* (+ (* (/ y (* x x)) 1/2) (/ 1/2 y)) x) x) (* (+ (* (/ y (* x x)) 1/2) (/ 1/2 y)) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (* x x) (neg z) (/ y (* x x)))
6.0ms	y	@	inf	((* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (+ y z) (- y z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 z) (/ z y)) (* -1/2 z) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ x y) (* x 1/2)) (/ x y) (* x 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (* (* (+ (* (/ y (* x x)) 1/2) (/ 1/2 y)) x) x) (* (+ (* (/ y (* x x)) 1/2) (/ 1/2 y)) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (* x x) (neg z) (/ y (* x x)))
5.0ms	y	@	-inf	((* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (+ y z) (- y z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 z) (/ z y)) (* -1/2 z) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ x y) (* x 1/2)) (/ x y) (* x 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (* (* (+ (* (/ y (* x x)) 1/2) (/ 1/2 y)) x) x) (* (+ (* (/ y (* x x)) 1/2) (/ 1/2 y)) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (* x x) (neg z) (/ y (* x x)))
4.0ms	y	@	0	((* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (+ y z) (- y z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 z) (/ z y)) (* -1/2 z) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ x y) (* x 1/2)) (/ x y) (* x 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (* (* (+ (* (/ y (* x x)) 1/2) (/ 1/2 y)) x) x) (* (+ (* (/ y (* x x)) 1/2) (/ 1/2 y)) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (* x x) (neg z) (/ y (* x x)))
3.0ms	x	@	0	((* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (+ y z) (- y z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 z) (/ z y)) (* -1/2 z) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ x y) (* x 1/2)) (/ x y) (* x 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (* (* (+ (* (/ y (* x x)) 1/2) (/ 1/2 y)) x) x) (* (+ (* (/ y (* x x)) 1/2) (/ 1/2 y)) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (* x x) (neg z) (/ y (* x x)))

simplify150.0ms (2.4%)

Memory

-28.8MiB live, 126.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	368	1395
1	1211	1270
2	4148	1207
0	8165	1143

Stop Event

1×	iter limit
1×	node limit

Counts

117 → 115

Calls

Call 1

Inputs
(* 1/2 (/ (* (+ y z) (- y z)) y))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(* (+ y z) (- y z))
(+ (* (+ y z) (- y z)) (pow x 2))
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (/ (pow x 2) y))
(/ x y)
(* 1/2 x)
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(* 1/2 y)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (/ y x))
(/ (+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) x)
(pow x 2)
(/ y (pow x 2))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))))
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y)
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(+ (* -1 (pow z 2)) (pow x 2))
(+ (* -1 (pow z 2)) (+ (* y (+ z (* -1 z))) (pow x 2)))
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2)))
z
(+ y z)
(* -1 z)
(- y z)
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* -1/2 (/ (pow z 2) y))
(/ z y)
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (* (+ x z) (- x z)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/ (- x z) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 x) (* 1/2 (/ (pow y 2) x))) y)
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y))))
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2))))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2)))))))
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))))
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y))))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x)))))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (pow x 2) (pow y 2))
(+ (* z (+ y (* -1 y))) (+ (pow x 2) (pow y 2)))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2)))
(+ y (* -1 z))
(* -1/2 z)
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ y (/ (pow x 2) y))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1))
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1))
(* z (+ 1 (/ y z)))
(* z (- (/ y z) 1))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))

Outputs
(* 1/2 (/ (* (+ y z) (- y z)) y))
(.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
(* (+ y z) (- y z))
(*.f64 (-.f64 y z) (+.f64 z y))
(+ (* (+ y z) (- y z)) (pow x 2))
(fma.f64 (neg.f64 z) z (fma.f64 x x (*.f64 y y)))
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
(* 1/2 (/ (pow x 2) y))
(.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(/ x y)
(/.f64 x y)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(.f64 (-.f64 y (/.f64 (.f64 z z) y)) #s(literal 1/2 binary64))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(*.f64 (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
(+ y (* -1 (/ (pow z 2) y)))
(-.f64 y (/.f64 (*.f64 z z) y))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(-.f64 y (/.f64 (*.f64 z z) y))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(* 1/2 (/ y x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
(/ (+ (* 1/2 y) (* 1/2 (/ (pow x 2) y))) x)
(*.f64 (fma.f64 (/.f64 x y) x y) (/.f64 #s(literal 1/2 binary64) x))
(pow x 2)
(*.f64 x x)
(/ y (pow x 2))
(/.f64 (/.f64 y x) x)
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (-.f64 y (/.f64 (.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2))))
(.f64 (fma.f64 (/.f64 (-.f64 y z) x) (/.f64 (+.f64 z y) x) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (-.f64 y (/.f64 (.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (-.f64 y (/.f64 (.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(*.f64 (/.f64 x y) x)
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (/.f64 z x) x) (/.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 y x) x)) #s(literal 0 binary64)) (.f64 x x))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 z y) x)) x)
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(.f64 (.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)
(* 1/2 (/ x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(* x (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (-.f64 y (/.f64 (.f64 z z) y)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(.f64 x (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 (.f64 z z) y)) x) x) x (/.f64 x y)))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 z y) x)) x)
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))
(.f64 (.f64 (+.f64 x z) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y)
(.f64 (.f64 (+.f64 x z) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 z) z (fma.f64 x x (.f64 y y))) y))
(+ (* -1 (pow z 2)) (pow x 2))
(*.f64 (+.f64 x z) (-.f64 x z))
(+ (* -1 (pow z 2)) (+ (* y (+ z (* -1 z))) (pow x 2)))
(*.f64 (+.f64 x z) (-.f64 x z))
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2)))
(fma.f64 (neg.f64 z) z (fma.f64 x x (*.f64 y y)))
z
(+ y z)
(+.f64 z y)
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(.f64 (.f64 (+.f64 x z) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 z) z (fma.f64 x x (.f64 y y))) y))
(* -1/2 (/ (pow z 2) y))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(/ z y)
(/.f64 z y)
(* 1/2 (/ (* (+ x z) (- x z)) y))
(.f64 (.f64 (+.f64 x z) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 z) z (fma.f64 x x (.f64 y y))) y))
(/ (* (+ x z) (- x z)) y)
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/.f64 (fma.f64 (neg.f64 z) z (fma.f64 x x (*.f64 y y))) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(.f64 (/.f64 (fma.f64 x x (.f64 y y)) y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 (/ (pow y 2) x))) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (/.f64 y x) x) y))
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y))))
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2))))))
(.f64 (fma.f64 (/.f64 (.f64 (+.f64 x z) #s(literal 1/2 binary64)) y) (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y))))
(*.f64 y y)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2)))))))
(.f64 y (fma.f64 (+.f64 (fma.f64 (neg.f64 z) (/.f64 (/.f64 z y) y) (/.f64 (.f64 (/.f64 x y) x) y)) #s(literal 0 binary64)) y y))
y
(* y (+ 1 (/ z y)))
(fma.f64 (/.f64 z y) y y)
(* y (+ 1 (* -1 (/ z y))))
(*.f64 (/.f64 (-.f64 y z) y) y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(.f64 (fma.f64 (/.f64 (.f64 (+.f64 x z) #s(literal 1/2 binary64)) y) (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) y)
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(.f64 (fma.f64 (/.f64 (.f64 (+.f64 x z) #s(literal 1/2 binary64)) y) (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) y)
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(*.f64 (fma.f64 (/.f64 (+.f64 x z) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) y)
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y)
(* y (+ (* 1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y)
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(.f64 (fma.f64 (/.f64 (.f64 (+.f64 x z) #s(literal 1/2 binary64)) y) (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) y)
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y))))
(.f64 (.f64 (fma.f64 (/.f64 (+.f64 x z) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) y) y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(fma.f64 (/.f64 z y) y y)
(* -1 (* y (- (/ z y) 1)))
(*.f64 (/.f64 (-.f64 y z) y) y)
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(.f64 (fma.f64 (/.f64 (.f64 (+.f64 x z) #s(literal 1/2 binary64)) y) (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) y)
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(.f64 (fma.f64 (/.f64 (.f64 (+.f64 x z) #s(literal 1/2 binary64)) y) (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) y)
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(*.f64 (fma.f64 (/.f64 (+.f64 x z) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) y)
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y)
(* -1 (* y (- (* -1/2 (/ x (pow y 2))) (* 1/2 (/ 1 x)))))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) y)
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(.f64 (/.f64 (fma.f64 x x (.f64 y y)) y) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (.f64 y y)) y)))
(+ (pow x 2) (pow y 2))
(fma.f64 x x (*.f64 y y))
(+ (* z (+ y (* -1 y))) (+ (pow x 2) (pow y 2)))
(fma.f64 x x (*.f64 y y))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2)))
(fma.f64 (neg.f64 z) z (fma.f64 x x (*.f64 y y)))
(+ y (* -1 z))
(-.f64 y z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* 1/2 (+ y (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(*.f64 (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
(+ y (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x y)
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(fma.f64 (/.f64 x y) x y)
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1))
(.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (fma.f64 (/.f64 y z) (/.f64 y z) #s(literal -1 binary64))) (.f64 z z))
(* z (+ 1 (/ y z)))
(fma.f64 (/.f64 y z) z z)
(* z (- (/ y z) 1))
(*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z)
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (.f64 z z))
(* -1 (/ (pow z 2) y))
(*.f64 (neg.f64 z) (/.f64 z y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(*.f64 (neg.f64 z) (/.f64 z y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(.f64 (-.f64 (fma.f64 (/.f64 (/.f64 x z) z) (/.f64 x y) (/.f64 (/.f64 y z) z)) (/.f64 #s(literal 1 binary64) y)) (.f64 z z))
(* z (- (/ x (* y z)) (/ 1 y)))
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) y)) z)
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 x x (*.f64 y y)) z) z) #s(literal 1 binary64)) z) z)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 y z) z z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z)
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) #s(literal -1/2 binary64)) z)) (*.f64 z z))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(*.f64 (neg.f64 z) (/.f64 z y))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) z) (/.f64 #s(literal 1 binary64) y)) z) z)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) y)) z)

rewrite216.0ms (3.5%)

Memory

-6.0MiB live, 239.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	277
0	70	277
1	270	273
2	2242	273
0	8250	271

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

23 → 490

Calls

Call 1

Inputs
(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
(+.f64 y z)
(-.f64 y z)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
(.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))
(*.f64 #s(literal -1/2 binary64) z)
(/.f64 z y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))
(.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64)))
(/.f64 x y)
(*.f64 x #s(literal 1/2 binary64))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y)
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
(.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)
(.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)))
#s(approx (* (+ (* (/ x y) x) y) 1/2) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x))
(*.f64 x x)
(neg.f64 z)
(/.f64 y (*.f64 x x))

Outputs
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z (fma.f64 x x (.f64 y y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 z z) (fma.f64 z z (fma.f64 x x (.f64 y y))) (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 z) z (fma.f64 x x (.f64 y y))) y) #s(literal 1/2 binary64))
(.f64 (.f64 (fma.f64 (neg.f64 z) z (fma.f64 x x (*.f64 y y))) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 z) z (fma.f64 x x (.f64 y y)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 (neg.f64 z) z (fma.f64 x x (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (neg.f64 (fma.f64 (neg.f64 z) z (fma.f64 x x (.f64 y y)))) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)))
(.f64 (fma.f64 (neg.f64 z) z (fma.f64 x x (.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (pow.f64 (fma.f64 (neg.f64 z) z (fma.f64 x x (.f64 y y))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (neg.f64 z) z (fma.f64 x x (.f64 y y))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (neg.f64 z) z (fma.f64 x x (*.f64 y y)))))
(.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 z) z (fma.f64 x x (.f64 y y))) y))
(pow.f64 (/.f64 y (.f64 (fma.f64 (neg.f64 z) z (fma.f64 x x (.f64 y y))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (neg.f64 z) z (fma.f64 x x (*.f64 y y))) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 (neg.f64 z) z (fma.f64 x x (.f64 y y)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 (neg.f64 z) z (fma.f64 x x (.f64 y y)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 z) z (fma.f64 x x (*.f64 y y))) #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) z (fma.f64 x x (.f64 y y))))) (*.f64 #s(literal -2 binary64) y))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y)) (-.f64 (pow.f64 (.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)))) (pow.f64 (.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y)) (-.f64 (pow.f64 (.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)))) (pow.f64 (.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (.f64 (+.f64 x z) y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)))) (pow.f64 (*.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64))))
(fma.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y)
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 x z) y)
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) z (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) x y))
(fma.f64 z #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) x y))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (fma.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y))) (/.f64 (.f64 y y) (fma.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y))))
(+.f64 (+.f64 y (.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) z)) (.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) x))
(+.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) z) (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) x y))
(+.f64 (*.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) y)
(+.f64 y (*.f64 (+.f64 x z) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))))
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
(.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)
(.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 x (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (.f64 x x))) (neg.f64 (-.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 x x))) (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (.f64 x x)) (-.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 x x)) (fma.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64))))))
(.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)
(.f64 x (fma.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 x (-.f64 (pow.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) x) (-.f64 (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) x) (fma.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 (/.f64 x y) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) x (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (.f64 (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)) x))
(fma.f64 x (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) x) (.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) (.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) x))
(+.f64 (.f64 x (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64))) (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) y)) (.f64 x (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)))
#s(approx (* (+ (* (/ x y) x) y) 1/2) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) z)) (neg.f64 (+.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y x))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) y)
(*.f64 (/.f64 y x) (pow.f64 x #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x)))
(.f64 (neg.f64 y) (pow.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(*.f64 y (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (/.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (/.f64 y x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x y))
(/.f64 (neg.f64 (/.f64 y x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x y) x)))
(/.f64 (/.f64 y x) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 x y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) x))
(/.f64 (neg.f64 y) (*.f64 (neg.f64 x) x))
(/.f64 y (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 y) (*.f64 x x)))
(neg.f64 (/.f64 y (*.f64 (neg.f64 x) x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x y) x)) #s(literal -1 binary64)))

eval140.0ms (2.3%)

Memory: 9.0MiB live, 164.0MiB allocated
Compiler: Compiled 19 126 to 2 186 computations (88.6% saved)

prune49.0ms (0.8%)

Memory

7.7MiB live, 46.5MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	573	3	576
Fresh	2	1	3
Picked	1	4	5
Done	0	2	2
Total	576	10	586

Accuracy

100.0%

Counts

586 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.9%	(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
▶	30.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
▶	33.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z)))
✓	71.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
✓	30.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))
▶	28.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
✓	33.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
✓	39.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	29.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
✓	43.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)))

Compiler

Compiled 250 to 170 computations (32% saved)

simplify165.0ms (2.7%)

Memory

34.7MiB live, 188.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) z)
cost-diff	0	#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))
cost-diff	0	(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(/.f64 y x)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
cost-diff	384	(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x))
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 #s(literal -1/2 binary64) z)
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z)))
cost-diff	384	(/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
cost-diff	0	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	165
0	46	165
1	85	165
2	159	165
3	312	165
4	712	165
5	1454	159
6	3179	159
0	8068	154

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 x x)
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z)))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z))
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
(/.f64 y z)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 y x)
y
(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(*.f64 x x)
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z))
(.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
z
(/.f64 y z)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x))
(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 y x)
y
(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y

localize87.0ms (1.4%)

Memory

-4.6MiB live, 72.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (neg.f64 z) z)
accuracy	0.0	(neg.f64 z)
accuracy	15.932157382775697	(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
accuracy	42.11922481651356	#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.125	(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x))
accuracy	44.38992656303199	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
accuracy	0.0	(/.f64 y z)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) z)
accuracy	0.1796875	(/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z))
accuracy	42.59941715558709	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z)))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	(*.f64 x x)
accuracy	8.180994093705278	(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
accuracy	44.38992656303199	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))

Samples

53.0ms

256×

valid

Compiler

Compiled 298 to 63 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 14.0ms (47.2% of total)

ival-div: 9.0ms (30.4% of total)

ival-add: 3.0ms (10.1% of total)

ival-sub: 2.0ms (6.7% of total)

ival-neg: 1.0ms (3.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series33.0ms (0.5%)

Memory

-13.5MiB live, 31.6MiB allocated

Counts

16 → 48

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 x x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z)))
(*.f64 #s(literal -1/2 binary64) z)
(/.f64 y z)
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 y x)
(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))
(*.f64 (neg.f64 z) z)
(neg.f64 z)

Outputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (/ (pow x 2) y))
(pow x 2)
(* 1/2 x)
(/ y x)
(* 1/2 (/ (* (+ y z) (- y z)) y))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(* (+ y z) (- y z))
(+ (* (+ y z) (- y z)) (pow x 2))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2))))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ 1/2 y)
(* -1/2 (/ (pow z 2) y))
(/ y z)
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y)
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(+ (* -1 (pow z 2)) (pow x 2))
(+ (* -1 (pow z 2)) (+ (* y (+ z (* -1 z))) (pow x 2)))
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2)))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y))))
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2))))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2)))))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y))))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* -1/2 z)
(+ (pow x 2) (pow y 2))
(+ (* z (+ y (* -1 y))) (+ (pow x 2) (pow y 2)))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2)))
(* -1 (pow z 2))
(* -1 z)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1))
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1))
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1))

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* x x) (/ 1/2 y)) (* x x) (/ 1/2 y) (/ (* -1/2 z) (/ y z)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 z) (/ y z) (/ (* 1/2 x) (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 x) (/ y x) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (* (neg z) z) (neg z))
3.0ms	y	@	-inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* x x) (/ 1/2 y)) (* x x) (/ 1/2 y) (/ (* -1/2 z) (/ y z)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 z) (/ y z) (/ (* 1/2 x) (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 x) (/ y x) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (* (neg z) z) (neg z))
3.0ms	y	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* x x) (/ 1/2 y)) (* x x) (/ 1/2 y) (/ (* -1/2 z) (/ y z)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 z) (/ y z) (/ (* 1/2 x) (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 x) (/ y x) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (* (neg z) z) (neg z))
2.0ms	y	@	0	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* x x) (/ 1/2 y)) (* x x) (/ 1/2 y) (/ (* -1/2 z) (/ y z)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 z) (/ y z) (/ (* 1/2 x) (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 x) (/ y x) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (* (neg z) z) (neg z))
2.0ms	z	@	inf	((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* x x) (/ 1/2 y)) (* x x) (/ 1/2 y) (/ (* -1/2 z) (/ y z)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 z) (/ y z) (/ (* 1/2 x) (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 x) (/ y x) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (* (neg z) z) (neg z))

simplify169.0ms (2.8%)

Memory

11.7MiB live, 119.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	528
1	518	508
2	1704	456
3	6601	448
0	8434	428

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (/ (pow x 2) y))
(pow x 2)
(* 1/2 x)
(/ y x)
(* 1/2 (/ (* (+ y z) (- y z)) y))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(* (+ y z) (- y z))
(+ (* (+ y z) (- y z)) (pow x 2))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2))))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ 1/2 y)
(* -1/2 (/ (pow z 2) y))
(/ y z)
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y)
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(+ (* -1 (pow z 2)) (pow x 2))
(+ (* -1 (pow z 2)) (+ (* y (+ z (* -1 z))) (pow x 2)))
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2)))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y))))
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2))))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2)))))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y))))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* -1/2 z)
(+ (pow x 2) (pow y 2))
(+ (* z (+ y (* -1 y))) (+ (pow x 2) (pow y 2)))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2)))
(* -1 (pow z 2))
(* -1 z)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1))
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1))
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1))

Outputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(.f64 (+.f64 y (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) #s(literal 1/2 binary64))
(* 1/2 (/ (pow x 2) y))
(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(/ y x)
(/.f64 y x)
(* 1/2 (/ (* (+ y z) (- y z)) y))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(.f64 (+.f64 y (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) #s(literal 1/2 binary64))
(* (+ y z) (- y z))
(*.f64 (-.f64 y z) (+.f64 z y))
(+ (* (+ y z) (- y z)) (pow x 2))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(.f64 (+.f64 y (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(.f64 (+.f64 y (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2))))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(.f64 (+.f64 y (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) #s(literal 1/2 binary64))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(* -1/2 (/ (pow z 2) y))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
(/ y z)
(/.f64 y z)
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))
(.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y)
(.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(.f64 (+.f64 y (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) #s(literal 1/2 binary64))
(+ (* -1 (pow z 2)) (pow x 2))
(*.f64 (-.f64 x z) (+.f64 z x))
(+ (* -1 (pow z 2)) (+ (* y (+ z (* -1 z))) (pow x 2)))
(*.f64 (-.f64 x z) (+.f64 z x))
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(fma.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) y))
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y))))
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2))))))
(fma.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y))))
(*.f64 y y)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2)))))))
(fma.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) y (.f64 y y))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(fma.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(fma.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) y))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y))))
(fma.f64 (.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) y (.f64 y y))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(.f64 (/.f64 (fma.f64 y y (.f64 x x)) y) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) y) z) z (.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (* z (+ y (* -1 y))) (+ (pow x 2) (pow y 2)))
(fma.f64 y y (*.f64 x x))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* -1 z)
(neg.f64 z)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1))
(.f64 (fma.f64 (/.f64 (/.f64 y z) z) y (fma.f64 (/.f64 (/.f64 x z) z) x #s(literal -1 binary64))) (.f64 z z))
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) z) #s(literal 1 binary64)) z) z)

rewrite251.0ms (4.1%)

Memory

0.7MiB live, 158.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	150
0	46	150
1	176	150
2	1288	150
0	8729	145

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

16 → 354

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 x x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z)))
(*.f64 #s(literal -1/2 binary64) z)
(/.f64 y z)
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 y x)
(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))
(*.f64 (neg.f64 z) z)
(neg.f64 z)

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (.f64 x x))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (neg.f64 x))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) x) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 (pow.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 x (neg.f64 (pow.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64)))
(.f64 (/.f64 x y) (pow.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 x y) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 (neg.f64 x) y))
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) (/.f64 y x)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) y))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x y) x))
(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal -1 binary64))))
(.f64 x (.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(pow.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x))) y)
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x)) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64))) y)
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)))) y)
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (neg.f64 y))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) y)
(/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (.f64 x x)) (.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x))) (neg.f64 y))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) y)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 (.f64 x x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) y) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 y x) x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) x))
(/.f64 (.f64 x x) (.f64 #s(literal 2 binary64) y))
(/.f64 x (*.f64 (/.f64 y x) #s(literal 2 binary64)))
(neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) x)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) x))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) y))
(/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) y))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 (/.f64 y z) z) #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) z) (pow.f64 z #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 y z)))
(*.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal -1/2 binary64) (neg.f64 (pow.f64 z #s(literal -1 binary64)))))
(*.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) z)))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 z y)) (neg.f64 z))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) z) z) (pow.f64 y #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 #s(literal -1/2 binary64) z) (neg.f64 (pow.f64 z #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) z) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z))
(.f64 (.f64 (/.f64 z y) z) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (/.f64 y z) z) #s(literal -2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (*.f64 z z) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (neg.f64 z) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 z (neg.f64 (pow.f64 z #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 z (/.f64 #s(literal -1 binary64) z)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) z) (pow.f64 z #s(literal -1 binary64))))
(.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 z #s(literal -1 binary64)) z)) #s(literal -1 binary64)))
(.f64 (/.f64 z y) (pow.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 z y) (.f64 #s(literal -1/2 binary64) z))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 z z)))
(.f64 (.f64 #s(literal 1/2 binary64) z) (/.f64 (neg.f64 z) y))
(.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))
(.f64 #s(literal -1/2 binary64) (.f64 (/.f64 z y) z))
(*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 z) (/.f64 y z)))
(.f64 (.f64 z z) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 z (/.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal -1 binary64))))
(.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(pow.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) z)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) (neg.f64 (pow.f64 z #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) z) y)
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 y z) z) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z))
(/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y z) z))
(/.f64 z (*.f64 (/.f64 y z) #s(literal -2 binary64)))
(neg.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 z y)) #s(literal 0 binary64) (.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 z z)))
(fma.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 z y)) (.f64 (neg.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 z y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z)) (.f64 (/.f64 (.f64 z z) y) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 z z) y) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (/.f64 y z) z) #s(literal -2 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 z y))) (.f64 (neg.f64 z) (.f64 #s(literal 1/2 binary64) (/.f64 z y))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 z y)) #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) z))
(.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 z #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 z #s(literal -1 binary64))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) z))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 y (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (neg.f64 z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 y z)
(neg.f64 (/.f64 (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (.f64 x x))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x y)) (neg.f64 x))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) x) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 (pow.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 x (neg.f64 (pow.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 x x))
(.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64)))
(.f64 (/.f64 x y) (pow.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 x y) (.f64 #s(literal 1/2 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 (neg.f64 x) y))
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) (/.f64 y x)))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) y))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x y) x))
(.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal -1 binary64))))
(.f64 x (.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(pow.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x))) y)
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x)) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64))) y)
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)))) y)
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (neg.f64 y))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) y)
(/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (.f64 x x)) (.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x))) (neg.f64 y))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) y)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 (.f64 x x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) y) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 y x) x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) x))
(/.f64 (.f64 x x) (.f64 #s(literal 2 binary64) y))
(/.f64 x (*.f64 (/.f64 y x) #s(literal 2 binary64)))
(neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) x)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x y) x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (/.f64 y x) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) x))
(.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 y (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (neg.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) #s(literal 2 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) y) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (neg.f64 (.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))))
(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) y))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))))
(pow.f64 (/.f64 y (.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)))) y)
(/.f64 (neg.f64 (.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) #s(literal -1/2 binary64))) y)
(/.f64 (neg.f64 (neg.f64 (.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) #s(literal 1/2 binary64)))) y)
(/.f64 (neg.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (.f64 (neg.f64 z) z))) (.f64 #s(literal -2 binary64) y))
(/.f64 (.f64 #s(literal -1/2 binary64) #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))) (neg.f64 y))
(/.f64 (.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) #s(literal 1/2 binary64))) (neg.f64 y))
(/.f64 (.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) #s(literal 1/2 binary64)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 #s(literal -1/2 binary64) #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) #s(literal 1/2 binary64))))
(/.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (.f64 (neg.f64 z) z)) (.f64 #s(literal 2 binary64) y))
(.f64 #s(literal 1 binary64) #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)))
(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) #s(literal 1 binary64))
#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))
(.f64 #s(literal -1 binary64) (.f64 z z))
(*.f64 (neg.f64 z) z)
(*.f64 z (neg.f64 z))
(/.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 z z)))
(/.f64 (neg.f64 (pow.f64 z #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (.f64 z z)))))
(neg.f64 (*.f64 z z))
(fma.f64 z #s(literal 0 binary64) (*.f64 (neg.f64 z) z))
(-.f64 #s(literal 0 binary64) (*.f64 z z))
(+.f64 (.f64 z #s(literal 0 binary64)) (.f64 (neg.f64 z) z))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) z)
(.f64 (.f64 (neg.f64 z) z) (pow.f64 z #s(literal -1 binary64)))
(*.f64 z #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 z z) (.f64 #s(literal 0 binary64) (neg.f64 z)))))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z)))
(/.f64 (*.f64 (neg.f64 z) z) z)
(/.f64 (*.f64 z z) (neg.f64 z))
(neg.f64 z)
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z z) z))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))

eval109.0ms (1.8%)

Memory: -13.3MiB live, 52.3MiB allocated
Compiler: Compiled 8 261 to 979 computations (88.1% saved)

prune27.0ms (0.4%)

Memory

-2.5MiB live, 34.4MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	327	3	330
Fresh	0	0	0
Picked	2	2	4
Done	2	4	6
Total	331	9	340

Accuracy

100.0%

Counts

340 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	33.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z)))
	71.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
✓	30.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))
	29.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z)))
	30.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
✓	28.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
✓	33.4%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
✓	39.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	29.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Compiler

Compiled 703 to 247 computations (64.9% saved)

regimes58.0ms (0.9%)

Memory

0.3MiB live, 73.4MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)))

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))

Calls

6 calls:

17.0ms	(*.f64 x x)
16.0ms	y
6.0ms	x
6.0ms	z
6.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
99.9%	1	`(*.f64 x x)`
99.9%	1	`(*.f64 z z)`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes83.0ms (1.4%)

Memory

-16.3MiB live, 71.0MiB allocated

Counts

17 → 3

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y x)))

Outputs

#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))

#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))

#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))

Calls

6 calls:

31.0ms	x
31.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
5.0ms	y
5.0ms	z
5.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
90.3%	3	`x`
89.1%	3	`y`
90.4%	3	`z`
98.0%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
90.3%	3	`(*.f64 x x)`
88.4%	2	`(*.f64 z z)`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes4.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1/2 binary64) y))

Outputs

#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))

#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))

Calls

1 calls:

3.0ms

(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
94.2%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes42.0ms (0.7%)

Memory

-13.6MiB live, 23.7MiB allocated

Counts

8 → 4

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64)))

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))

Calls

6 calls:

28.0ms	y
3.0ms	x
3.0ms	z
3.0ms	(*.f64 z z)
3.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
57.6%	2	`y`
63.7%	4	`(*.f64 z z)`
59.8%	4	`x`
56.3%	2	`(*.f64 x x)`
64.1%	4	`z`
75.2%	4	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes3.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

6 → 4

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 #s(literal -1/2 binary64) y) (.f64 z z)))

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))

Calls

1 calls:

2.0ms

(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
75.2%	4	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))

Calls

1 calls:

2.0ms

(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
73.2%	4	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))

#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Calls

1 calls:

1.0ms

(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
66.3%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Calls

1 calls:

1.0ms

(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
64.2%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes7.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Calls

6 calls:

1.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
1.0ms	x
1.0ms	z
1.0ms	y
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
39.7%	1	`(*.f64 x x)`
39.7%	1	`x`
39.7%	1	`y`
39.7%	1	`(*.f64 z z)`
39.7%	1	`z`
39.7%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`

Compiler

Compiled 24 to 28 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	1.4606221794678595e-121

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.4606221794678595e-121

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	8.274867766910863e+145	5.515235696365974e+154
0.0ms	0.0	1.4606221794678595e-121

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	8.274867766910863e+145	5.515235696365974e+154
0.0ms	0.0	1.4606221794678595e-121

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	8.274867766910863e+145	5.515235696365974e+154
0.0ms	0.0	1.4606221794678595e-121

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.4606221794678595e-121

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.7279111565608165e-84	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify67.0ms (1.1%)

Memory

-5.1MiB live, 31.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	74	744
1	99	744
2	139	744
3	208	744
4	374	744
5	728	744
6	1660	700
7	4014	700
8	7424	700

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -546812681195753/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))))
(if (or (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (not (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (/.f64 x y) (.f64 x #s(literal 1/2 binary64)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ ( x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) #s(literal -546812681195753/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

soundness990.0ms (16.1%)

Memory

-7.1MiB live, 517.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	150
0	46	150
1	176	150
2	1288	150
0	8729	145
0	72	286
1	198	286
2	573	260
3	2185	256
4	6059	252
0	8348	234
0	163	528
1	518	508
2	1704	456
3	6601	448
0	8434	428
0	33	194
0	50	194
1	188	194
2	1549	194
0	8439	189

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 1 062 to 345 computations (67.5% saved)

preprocess125.0ms (2%)

Memory

23.5MiB live, 97.1MiB allocated

Remove

(negabs y)

(abs z)

Compiler

Compiled 1 772 to 340 computations (80.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze90.0ms (1.5%)

sample1.1s (18.1%)

explain122.0ms (2%)

preprocess221.0ms (3.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify164.0ms (2.7%)

localize29.0ms (0.5%)

series12.0ms (0.2%)

simplify112.0ms (1.8%)

rewrite155.0ms (2.5%)

eval80.0ms (1.3%)

prune12.0ms (0.2%)

simplify149.0ms (2.4%)

localize85.0ms (1.4%)

series33.0ms (0.5%)

simplify181.0ms (3%)

rewrite153.0ms (2.5%)

eval61.0ms (1%)

prune18.0ms (0.3%)

simplify133.0ms (2.2%)

localize386.0ms (6.3%)

series39.0ms (0.6%)

simplify150.0ms (2.4%)

rewrite216.0ms (3.5%)

eval140.0ms (2.3%)

prune49.0ms (0.8%)

simplify165.0ms (2.7%)

localize87.0ms (1.4%)

series33.0ms (0.5%)

simplify169.0ms (2.8%)

rewrite251.0ms (4.1%)

eval109.0ms (1.8%)

prune27.0ms (0.4%)

regimes58.0ms (0.9%)

regimes83.0ms (1.4%)

regimes4.0ms (0.1%)

regimes42.0ms (0.7%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify67.0ms (1.1%)

soundness990.0ms (16.1%)

preprocess125.0ms (2%)

end0.0ms (0%)

Profiling